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Finding the Fourth Proportional to 238,024.66, 357,038.22 and 80,254.48

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Solution

The fourth proportional to 238,024.66, 357,038.22 and 80,254.48 is: 120,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,024.66 : 357,038.22 = 80,254.48 : x
  2. Step 2: Convert to fraction form
    238,024.66/357,038.22 = 80,254.48/x
  3. Step 3: Cross multiply
    238,024.66x = 357,038.22 × 80,254.48
  4. Step 4: Simplify right side
    238,024.66x = 28,653,916,686.23
  5. Step 5: Solve for x
    x = 28,653,916,686.23/238,024.66
  6. Step 6: Final answer
    x = 120,382.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.